Details

Time bar (total: 1.7s)

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0209
1409
2789
31349
42009
52339
62399
72399

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
3.9b
(- (* x x) (* (* y 4.0) y))
31.0b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-log-exp
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
cbrt-undiv +-commutative sub-neg fma-def frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num sum-log div-inv
Counts
3 → 64
Calls
3 calls:
8.0ms
(+ (* x x) (* (* y 4.0) y))
8.0ms
(- (* x x) (* (* y 4.0) y))
26.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (* x x) (* (* y 4.0) y))
39.0ms
(- (* x x) (* (* y 4.0) y))
55.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0254719
11175657
25001641

prune157.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune3.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3))
0.0b
(pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3)
3.9b
(- (* x x) (* (* y 4.0) y))
31.0b
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×cbrt-prod
26×unpow-prod-down cube-prod
add-exp-log add-cbrt-cube
add-log-exp
pow1 div-inv
expm1-log1p-u log1p-expm1-u
pow-unpow associate-/r* associate-/l*
cbrt-undiv cube-div cube-mult flip3-- unpow3 div-exp pow-exp flip-- associate-/l/ rem-cube-cbrt sqr-pow
pow-to-exp sub-neg cbrt-div pow-pow frac-2neg fma-neg pow1/3 diff-log div-sub prod-diff clear-num rem-cbrt-cube
Counts
4 → 140
Calls
4 calls:
11.0ms
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3))
12.0ms
(pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3)
8.0ms
(- (* x x) (* (* y 4.0) y))
22.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

series235.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3))
72.0ms
(pow (/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y))) 3)
38.0ms
(- (* x x) (* (* y 4.0) y))
63.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

simplify74.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04531951
122711831
250021815

prune279.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes98.0ms

Accuracy

60.4% (12.5b remaining)

Error of 12.9b against oracle of 0.4b and baseline of 31.9b

bsearch121.0ms

Steps
ItersRangePoint
9
8.51427007073367e+131
4.7378067628763807e+139
5.311417125820034e+136
8
1.3336169194388861e-70
1.8614563384609176e-67
8.488500927325731e-70
9
-3.1684052166683416e-65
-5.325167427794927e-71
-6.751306280841242e-71
6
-7.720537975551006e+141
-1.1945430260111755e+141
-3.759129799435656e+141

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03121
13121

end0.0ms

sample403.0ms

Algorithm
intervals
Results
233.0ms8000×body80valid